97507628160 has 256 divisors, whose sum is σ = 324158284800. Its totient is φ = 24902369280.

The previous prime is 97507628159. The next prime is 97507628167. The reversal of 97507628160 is 6182670579.

It is not an unprimeable number, because it can be changed into a prime (97507628167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5764996 + ... + 5781884.

It is an arithmetic number, because the mean of its divisors is an integer number (1266243300).

Almost surely, 2^97507628160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97507628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162079142400).

97507628160 is an abundant number, since it is smaller than the sum of its proper divisors (226650656640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97507628160 is a wasteful number, since it uses less digits than its factorization.

97507628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17039 (or 17027 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

It can be divided in two parts, 975076 and 28160, that added together give a triangular number (1003236 = T₁₄₁₆).

The spelling of 97507628160 in words is "ninety-seven billion, five hundred seven million, six hundred twenty-eight thousand, one hundred sixty".